Abstract. In this paper a general parabolic problem is considered and discretized by dis- continuous Galerkin (DG) method in time and generally in space.

Oct 16, 2013 · In this paper a general parabolic problem is considered and discretized by the discontinuous Galerkin (DG) method in time and, in general, in space.

Feb 1, 2013 · Optimal a priori error estimates in space as well as in time are derived and applied to the heat equation and to a nonlinear convection– ...

Optimal a priori error estimates in space as well as in time are derived and applied to the heat equation and to a nonlinear convection-diffusion equation.

Abstract ... In this paper a general parabolic problem is considered and discretized by the discontinuous Galerkin (DG) method in time and, in general, in space.

Optimal spatial error estimates for DG time discretizations // Journal of Numerical Mathematics. 2013. Vol. 21. No. 3. GOST all authors (up to 50) Copy.

In this paper, we investigate the optimal error estimate and the superconvergence of linear fifth order time dependent equations.

We show error estimates for the fully discrete problem, where a discontinuous Galerkin method in time and inf-sup stable finite elements in space are used.

In this paper, we propose a conservative local discontinuous Galerkin method for a one-dimensional nonlinear Schrödinger equation.

Nov 5, 2024 · Convergence estimates are obtained in Section 2.4, which are explicit in the spatial mesh size, the time steps, and the polynomial degrees.